What is the answer to ((x+3))/2-((1-2x))/3 =((2x))/6-1/4 ?

The answer to ((x+3))/2-((1-2x))/3 =((2x))/6-1/4 is x=-17/10

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((x+3))/2-((1-2x))/3 =((2x))/6-1/4

\frac{( x + 3 )}{2} - \frac{( 1 - 2 x )}{3} = \frac{( 2 x )}{6} - \frac{1}{4}

x = - \frac{17}{10}

Decimal Notation

x = - 1.7

Solution steps

\frac{( x + 3 )}{2} - \frac{( 1 - 2 x )}{3} = \frac{( 2 x )}{6} - \frac{1}{4}

Cancel

\frac{2 x}{6} : \frac{x}{3}

\frac{x + 3}{2} - \frac{1 - 2 x}{3} = \frac{x}{3} - \frac{1}{4}

Move

\frac{x}{3}

to the left side

\frac{5 x + 7}{6} = - \frac{1}{4}

Multiply both sides by

6

5 x + 7 = - \frac{3}{2}

Move

7

to the right side

5 x = - \frac{17}{2}

Divide both sides by

5

x = - \frac{17}{10}

x - \frac{3}{2.5} = 1, \frac{6}{4} = \frac{8}{2}

x, \frac{x}{2} - y = 4

x - 2 (1 + 3 k) x + 7 (3 + 2 k) = 0

x, 6 x + 3 y = 17

p + \frac{142}{3} - \frac{51}{4} \cdot 3 \cdot \frac{1}{3} = 5

What is the answer to ((x+3))/2-((1-2x))/3 =((2x))/6-1/4 ?
The answer to ((x+3))/2-((1-2x))/3 =((2x))/6-1/4 is x=-17/10
Solve for x: ((x+3))/2-((1-2x))/3 =((2x))/6-1/4
The solution is x=-17/10